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Finding the Fourth Proportional to 7,843.23, 11,763.63 and 2,295.27

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Solution

The fourth proportional to 7,843.23, 11,763.63 and 2,295.27 is: 3,442.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.23 : 11,763.63 = 2,295.27 : x
  2. Step 2: Convert to fraction form
    7,843.23/11,763.63 = 2,295.27/x
  3. Step 3: Cross multiply
    7,843.23x = 11,763.63 × 2,295.27
  4. Step 4: Simplify right side
    7,843.23x = 27,000,707.03
  5. Step 5: Solve for x
    x = 27,000,707.03/7,843.23
  6. Step 6: Final answer
    x = 3,442.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.